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• Recognise that letter symbols play different roles in equations, formulae and functions
• Construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets) using appropriate methods (e.g. inverse operations, transforming both sides in same way)
• Use graphs and set up equations to solve simple problems involving direct proportion
• Substitute integers into simple formulae, including examples that lead to an equation to solve
• Distinguish the different roles played by letter symbols in equations, identities, formulae and functions
• Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equation, positive or negative solution)
• Use systematic trial and improvement methods and ICT tools to find approximate solutions to equations such as x2 + x = 20
• Use algebraic methods to solve problems involving direct proportion; relate algebraic solutions to graphs of the equations; use ICT as appropriate
Some
• Solve linear equations in one unknown with integer and fractional coefficients; solve linear equations that require prior simplification of brackets, including those with negative signs anywhere in the equation• Solve linear inequalities in one variable; represent the solution set on a number line
• Solve a pair of simultaneous linear equations by eliminating one variable; link a graph of an equation or a pair of equations to the algebraic solution; consider cases that have no solution or an infinite number of solutions